## anonymous 5 years ago Write a system of two equations using x and y in each for the following. The sum of two numbers is 170 and their difference is 26. Find the two numbers.

1. anonymous

no u

2. anonymous

lol

3. anonymous

pleeeeeaseeeeeeeeeee? I am having to retake all this :p And i dont remember a thing!! Its from the begining of the year :P

4. anonymous

x+y=170 x-y=26 __________ So x=26+y 26+y+y=170 solve for y, plug and chug the first eqn to get x

5. anonymous

wat???

6. anonymous

woops messed up.

7. anonymous

O.o

8. anonymous

i don't get it

9. anonymous

nvm no I didn't

10. anonymous

You know that x and y together are 170 You know the difference is 26 So you know x or y being added to 26 is y or x respectively (doesnt matter) So you sub that into your first eqn. Then solve.

11. anonymous

$x+y=170$ $x-y=26$ add to get $2x=196$ $x=148$

12. anonymous

x+y=170 and y-x=26 y-x=26 y=26+x x+26+x=170 2x=170-26 2x=144 x=72 x+y=170 72+y=170 y=170-72 y=98

13. anonymous

14. anonymous

and since $x=148$ $148+y=170$ $y=170-148=22$

15. anonymous

oops sorry

16. anonymous

$\frac{196}{2}=98$you are correct and i am wrong.

17. anonymous

thank you satellite73. it is okay.

18. anonymous

sometimes i have a hard time dividing by 2!

19. anonymous

lol, that is why, being careful will help us arrive to the answer correctly.